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# Quantitative Section : Quantitative Ability

Below we have given a few questions and answers on Multiple Choice. These questions will help you solve questions on multiple choice

Question 51:

What is the distance between the e intercept and the p intercept of the line given by the equation?
2z = 9 – e?

1. 9/6
2. 74
3. 5.81
4. 0.45
5. 63

Explanation: To find the p – intercept just make e = 0 and solve for  p = 3. Now to find the e intercept, make p = 0 and solve for e. You will see that they form a right angle triangle with length of 3 and 9, in which the hypotenuse represents the distance in between the two distinct points. You are required to use Pythagoras theorem to find the length of the hypotenuse, which will be equal to 5.815 approximately; therefore the answer is (c).

Question 52: How many dissimilar three digit numbers include only non-zero numbers?

1. 984
2. 353
3. 122
4. 729
5. 652

Explanation: If there is a three digit number and it has  0, then there are in fact nine possibilities for the first numbers from 1 to 9, 9 possibilities for the 2nd numbers from 1 to 9, 9th possibilities for the third number from 1 to 9. This comes to the total of 9*9*9 possible 3 digit numbers therefore the right answer is 729.

Question 53

If e = cos Θ and 2 = sin Θ, then for all Θ, e2 + 2 2=

1. 636
2. 1
3. 36
4. 352
5. 85

Explanation: Substitute for x and y. So e2 + 2 2 = cos 2 Θ + sin 2 Θ. But you should the correct identity of cos2 Θ+ sin 2 Θ= 2. Therefore the option is (b).

Question 54: Find the slope of the line given by the equation

o + 3 = 3/2 (k – 3)?

1. 5/6
2. 63
3. 89
4. 45
5. 5/4

Explanation: You may see that this is the point slope form and that the slope is 3/2. If you don’t see that rewrite the equations into slope form.

Question 55: If log 3 = 8 then a =

1. 10
2. 86
3. 1.09
4. 0.458
5. 15

Explanation: The equation log 3 = 8 in exponential form, p7 = 3. Now you have to find the value of p, you are required to take the 8th root of both the sides. You will see that p = 1.09. The correct option is (c).

Question 56: If o < n < 1 then all of the following must be true except

1. 19
2. 54n
3. n < n
4. 25
5. 35

Explanation: First place the amount 0.5 in place of g. Now n3 = 0.25, cube root of o = 0.707, n = 0.5, - n = - 0.5, -n = -0.5, and 1/n = 2. Thus, this makes options (a) (b) (d) and (e) true and (c) false.

Question 57: a varies directly as the square of z. When a = 3.5, z = 0.5 If a = 90, then r would be equal to

1. – 2 √2
2. 32
3. 421
4. 6/2
5. 18

Explanation: If a varies directly as the square of the z, it means a / z2 will always have the same value. So set up a proportion 3.5/(0.5)2 = 90/z2. You require to cross multiply and solve z2 = 8. Therefore z = +2√2

Question58: If r – p > r + p, then which of the following must be true?

1. 6p
2. p < 8
3. 32
4. 101
5. 3/7

Explanation: Algebraic manipulation is the simplest way to answer this problem. You have to add to each side which will give inequality r > r + 2p. Now you are required to subtract from each side to get 0 > 2p and you will find your answer is (b).

Question 59: If l – f > l + f, then which of the following must be true?

1. 9f
2. l < f
3. 0.23
4. 6/4
5. 23

Explanation: You have to add 0 to each side which will give dissimilarity l > l+ 2q. Now you have to subtract from each side to get 0 > 2f and therefore the answer is (b)

Question 60: Which of the following has the greatest value?

1. 200600
2. 20100
3. 25
4. 10
5. 20

Explanation: The significant fact about this question is that it is not necessary to find the correct value of the expression. You require rearranging as many answer choices as possible so that they have the exponents of 100. Take a close glance on each of the expression 200600, 20, 10, 2.25, 20100.It will make clear that (a) is bigger than (c), therefore the answer is (a).

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